1. Consider the regression model: M] = ßo = ß1 × UR where MJ is the past-month marijuana-use rate for 12-17 year-olds in a state in 2009-10, UR is the average state unemployment rate for 2009-10, and there are 51 observations (50 states plus DC). The results are the following, with the standard errors in parentheses below the coefficient estimate: %3D M) = 8.971 + 0.244 × UR (1.406) (0.148) a. Give the formal null and alternative hypotheses for whether the variable UR has a coefficient that is different from zero. b. Give the formal null and alternative hypotheses for whether the variable UR has a positive coefficient. c. Calculate the t-stat for the coefficient estimate on UR.
1. Consider the regression model: M] = ßo = ß1 × UR where MJ is the past-month marijuana-use rate for 12-17 year-olds in a state in 2009-10, UR is the average state unemployment rate for 2009-10, and there are 51 observations (50 states plus DC). The results are the following, with the standard errors in parentheses below the coefficient estimate: %3D M) = 8.971 + 0.244 × UR (1.406) (0.148) a. Give the formal null and alternative hypotheses for whether the variable UR has a coefficient that is different from zero. b. Give the formal null and alternative hypotheses for whether the variable UR has a positive coefficient. c. Calculate the t-stat for the coefficient estimate on UR.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question
Please answer ,I know its easy ,Please answer all
![1. Consider the regression model: M] = ßo = ß1 × UR where MJ is the past-month marijuana-use rate
for 12-17 year-olds in a state in 2009-10, UR is the average state unemployment rate for 2009-10, and
there are 51 observations (50 states plus DC). The results are the following, with the standard errors in
parentheses below the coefficient estimate:
M] :
= 8.971 + 0.244 × UR
(1.406) (0.148)
a. Give the formal null and alternative hypotheses for whether the variable UR has a coefficient that is
different from zero.
b. Give the formal null and alternative hypotheses for whether the variable UR has a positive coefficient.
c. Calculate the t-stat for the coefficient estimate on UR.
d. Determine the critical values for the two-sided test on that coefficient for tests at the 1%, 5%, and
10% levels. Is the coefficient estimate statistically significant at each of those levels?
e. Determine the critical value for the one-sided hypothesis test (at the 5% significance level) on that
estimate to test if it is positive. What is the conclusion of the hypothesis test?
f. Calculate the 95% confidence interval for the coefficient estimate on UR.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3f39217-6130-4f13-a4f0-d29b129d90ed%2F3532191f-f374-416b-ab3c-c94e72dbb291%2Fn85wia_processed.png&w=3840&q=75)
Transcribed Image Text:1. Consider the regression model: M] = ßo = ß1 × UR where MJ is the past-month marijuana-use rate
for 12-17 year-olds in a state in 2009-10, UR is the average state unemployment rate for 2009-10, and
there are 51 observations (50 states plus DC). The results are the following, with the standard errors in
parentheses below the coefficient estimate:
M] :
= 8.971 + 0.244 × UR
(1.406) (0.148)
a. Give the formal null and alternative hypotheses for whether the variable UR has a coefficient that is
different from zero.
b. Give the formal null and alternative hypotheses for whether the variable UR has a positive coefficient.
c. Calculate the t-stat for the coefficient estimate on UR.
d. Determine the critical values for the two-sided test on that coefficient for tests at the 1%, 5%, and
10% levels. Is the coefficient estimate statistically significant at each of those levels?
e. Determine the critical value for the one-sided hypothesis test (at the 5% significance level) on that
estimate to test if it is positive. What is the conclusion of the hypothesis test?
f. Calculate the 95% confidence interval for the coefficient estimate on UR.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman